Greatest Common Factor of 2376 and 2380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2376, 2380 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2376 and 2380 is 4.

GCF(2376,2380) = 4

GCF of 2376 and 2380

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2376 and 2380

GCF of 2376 and 2380 is 4

Prime Factorization of 2376


2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 2376 are 2,3,11. Prime factorization of 2376 in exponential form is:

2376 = 23×33×111

Prime Factorization of 2380


2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 2380 are 2,5,7,17. Prime factorization of 2380 in exponential form is:

2380 = 22×51×71×171

∴ So by taking common prime factors GCF of 2376 and 2380 is 4

Greatest Common Factor of 2376 and 2380 by matching factors method

Factors of 2376

List of positive integer factors of 2376 that divides 2376 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376

Factors of 2380

List of positive integer factors of 2380 that divides 2380 without a remainder.

1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380

Greatest Common Factor

We found the factors and prime factorization of 2376 and 2380. The biggest common factor number is the GCF number.
So the greatest common factor 2376 and 2380 is 4.

Also check out the Least Common Multiple of 2376 and 2380

Properties of GCF 2376 and 2380

(i) The GCF of 2376 and 2380 is associative

GCF of 2376 and 2380 = GCF of 2380 and 2376

Related Greatest Common Factor of 2376

Related Greatest Common Factor of 2380

Frequently Asked Questions on GCF of 2376 and 2380

1. What is the GCF of 2376 and 2380?

Answer: GCF of 2376 and 2380 is 4.

2. What are the Factors of 2376?

Answer: Factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376. There are 32 integers that are factors of 2376. The greatest factor of 2376 is 2376.

3. What are the Factors of 2380?

Answer: Factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380. There are 24 integers that are factors of 2380. The greatest factor of 2380 is 2380.

4. How to Find the GCF of 2376 and 2380?

Answer:

Greatest Common Factor of 2376 and 2380 = 4

Step 1: Find the prime factorization of 2376

2376 = 2 x 2 x 2 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 2380

2380 = 2 x 2 x 5 x 7 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2376 and 2380 is 4